Find the lateral surface area of the cylinder, if the volume of a cylinder is 224?cm3 and height 3.5cm?Options :350 cm2

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Given that the volume V is 224 cm³ and the height h is 3.5 cm, we can solve for the radius r:

224 = πr²(3.5) r² = 224 / (π * 3.5) r² = 20.2124 r = √20.2124 r = 4.5 cm (approximately)

The lateral surface area of a cylinder is given by the formula A = 2πrh.

Substituting r = 4.5 cm and h = 3.5 cm into the formula, we get:

A = 2π(4.5)(3.5) A = 99.123 cm² (approximately)

So, the lateral surface area of the cylinder is approximately 99.123 cm², which is not one of the options given. There might be a mistake in the problem or the options provided.